August 2006 Challenge: Mathematical Concepts for Quilt Designing! (Page 2)

Quilt 33

Quilt 34

Quilt 35

Quilt 36

Ingrid Akkersdijk
Barry Cipra's "Sol LeWitt" tiling puzzle - Angle Play style

Ingrid Akkersdijk
Barry Cipra's "Sol LeWitt" tiling puzzle - Oriental style

Jacquelyn Jacobi
Black and White and Red All Over

Jacquelyn Jacobi
You Can't Get There from Here

In 1974 Sol LeWitt composed "Straight Lines in Four Directions and All Their Possible Combinations", consisting of a grid of 15 squares, each inscribed with one or more horizontal, vertical, and diagonal lines in different orientations.

Barry Cipra, a mathematician, asked himself if it would be possible to rearrange 16 squares (one of them blank), without rotating any of the squares, so that all horizontal, vertical, of diagonal lines are unbroken within a 4x4 grid.

This is one of the three possible solutions, colored in the Angle Play fabric pallette.

Reference

The Netherlands

In 1974 Sol LeWitt composed "Straight Lines in Four Directions and All Their Possible Combinations", consisting of a grid of 15 squares, each inscribed with one or more horizontal, vertical, and diagonal lines in different orientations.

Barry Cipra, a mathematician, asked himself if it would be possible to rearrange 16 squares (one of them blank), without rotating any of the squares, so that all horizontal, vertical, of diagonal lines are unbroken within a 4x4 grid.

This is one of the three possible solutions, colored in the 2005/04 oriental fabric pallette of the month.

Reference

The Netherlands

Puzzle Ball block has loads of angles and I love these blocks that make something unexpected when set in multiples.

Victoria, British Columbia

Optical Illusions are always fascinating, although they tend to make my eyes cross.

Victoria, British Columbia

Quilt 37

Quilt 38

Quilt 39

Quilt 40

Jan N.
Star Light, Star Bright

Janet Bangs
Maths for beginners

Janet Bangs
Geometry

Jean J.
Square roots

A regular dodecahedron is one of the five Platonic solids, composed of twelve regular pentagonal faces, with three meeting at each vertex.

Use isosceles triangles (In an isosceles triangle at least two sides are of equal length.) to make little "mountains" on top of each pentagonal face, and you get a Small Stellated Dodecahedron.
The Small Stellated Dodecahedron is one of the four Kepler-Poinsot solids.

The width of the borders uses the fibonacci sequence.

I'm afraid maths isn't my strong point, so I kept it simple. It was easy to draft the mathematical symbols, - the rest of the blocks are from the EQ library.

Guildford, England

The shapes in this quilt remind me of the contents of my geometry set when I was at school. The block has been taken from a Kaffe Fassett book so it seemed appropriate to use his fabrics too.

Guildford, England

The hypoteuses of these shells measure root 2, root 3, etc. Start with a right angle triangle with short sides of 1 and 1. The hypoteneuse will mearsure root 2. Build a right ang le triangle on that with the other short side of 1 and the new hypoteneuse is root 3. Continue adding triangle in this way and, if you have drawn accurately, you should be able to measure the square root of the n umbers used.

Quilt 41

Quilt 42

Quilt 43

Quilt 44

Jean J.
Every which way and up

Janet Tannahill
Sudoku in Blue

Janet Tannahill
Shades of Pentomino

Judith Best
Spinning Angles

This quilt is based on a drawing by Escher - I love the way that you can't decide which way is up.I actually made it the hard way several years ago in my pre-EQ days. I had to use a scanned tracing which I enlarged on the computer and then sewed the shapes over paper, beforing applying them to the background fabric. In my quilt I used a large number of printed fabrics, but I used plains here to keep the files size down, but have kept the colours close to my original.

I had this concept buzzing around in my head before this challenge was suggested, so it begged to be presented here!

Mission, KS

Thanks to Carol Baldry for the reminder of this game I used to play on my old computer. It makes a pretty quilt!

Mission, KS

The block to create this quilt uses equilaterial triangles and trapezoids. The design changes depending on the colour you use for each patch.

Ontario, Canada

Quilt 45

Quilt 46

Quilt 47

Quilt 48

Kathy (Kela) Alaniz
Tangram Fun

Kathy (Kela) Alaniz
Tangram Fun 2

Laura Waterfield
GMFG

Laura Waterfield
Pyramid

Each block is a Tangram pattern. It has 2 large, 1 medium and 2 small triangles, one square and one parallogram.

One could cut this pattern (block) apart and make "things" with it like animals, boats, birds ect with the 7 pieces only.

Belleville,IL

Belleville,IL

Tomball, TX

Tomball, TX

Quilt 49

Quilt 50

Quilt 51

Quilt 52

Leanne Davis
Fibonacci Spiral Dahlias

Leigh Harris
Counting Symmetry

Lauri Homuth
Amish "A Whole is the sum..."

Lauri Homuth
A Whole is the sum of all its parts

The block sizes are based on the numbers in the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34). The borders widths are also the first 4 numbers of the sequence.

The block design is based on the star dahlia from the EQ5 block library.

Adelaide, South Australia

I started with the idea of those wooden counting blocks we used in early primary school (in units of 1-10). Then I saw that they could almost make a picture. In the end I came up with a simple illustration of symmetry from the blocks. Okay, so it's loosely mathematical!

Perth W Australia

Kewaskum, Wi

Kewaskum, Wi

Quilt 53

Quilt 54

Quilt 55

Quilt 56

Laurie Hopman
Christmas Quilt

Livy O.
9.5", 5x7, 55.5 x 74.5

Lynda-Jeanne Batie
Square Root

Lorraine Dickinson
Greco-Latin Square

The star block is designed with Fibonacci proportions; best done in 11 inch blocks. I drew this in March, 2006 when our local club set a project for each of us to do a Christmas themed quilt, so hence the Christmas theme. The applique borders are modified from the EQ library, as are the candles.
This one is about halfway sewn at this point!

Hilo, Hawaii

The blocks represent square roots.

The Center = 16 patch
Square Root of 16 = 4-patch blocks
Square Root = 2 patch blocks
Then: Bottom Corner = 9 patch
Square Root of 9 = 3
(Primary Colors)

Each multiple block is the colors
multiplied together
(2 patch = red & blue makes purple)
(9 patch = red + yellow & yellow + blue)

Philadelphia, PA

This quilt is fabric coloration of the Euler Square. Also called a Latin Square which is an array of numbers 1 to n - ie 00-99.
No row or column consists of the same number set. This quilt has ten rows and columns. The color arrangements depict the number sets.

Suduko puzzles are based on this theory.

Mystic, IA

Quilt 57

Quilt 58

Quilt 59

Quilt 60

Lorraine Dickinson
Fleur de Vie

Linda Price
Circle of Confusion

Linda Remley
Tessellation

Linda Remley
Sashiko

This is an adaptation of the Fleur de Vie.
One of the beautiful arrangements of circles found at the Temple of Osiris at Abydos, Egypt (Rawles 1997). The pattern also appears in Phoenician art from the 9th century BC (Wolfram 2002, pp. 43 and 873). The circles are placed with six-fold symmetry, forming a mesmerizing pattern of circles and lenses.
This is a Reuleaux triangle theory noted by Wolfram.

Mystic, IA

Iowa

Brockport, NY

Brockport, NY

Quilt 61

Quilt 62

Quilt 63

Quilt 64

Lynda-Jeanne Batie
Floral Sudoku

Mary Markworth
Fibo Flower

Mary Lou Mital
Cardinal's in Winter, A Fibonacci design

Mary Lou Mital

Just like in the game, each fabric appears once per horizontal & vertical row, and only once in each of the 9 grids of 9.

(This gave me a chance to use 9 of my favorite floral fabrics from a STASH shopping bag))

Philadelphia, PA

This quilt incorporates the Fibonacci series numbers--1, 1, 2, 3, 5, 8, 13. The flower has 13 petals and the other shapes combine for the other numbers in the series.

Nacogdoches, Texas

Quilt was designed using the Fibonacci numbers (1,1,2,3,5,.....). I do have a copyright on the design, but it can be shared by participants in the August, 2006 challenge for personal use.

Beverly, MA

Beverly, MA